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Finding the Third Proportional to 341,016.75 and 534,934.13

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Solution

The third proportional to 341,016.75 and 534,934.13 is: 839,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,016.75 : 534,934.13 = 534,934.13 : x
  2. Step 2: Convert to fraction form
    341,016.75/534,934.13 = 534,934.13/x
  3. Step 3: Cross multiply
    341,016.75x = 534,934.13 × 534,934.13
  4. Step 4: Simplify right side
    341,016.75x = 286,154,518,089.52
  5. Step 5: Solve for x
    x = 286,154,518,089.52/341,016.75
  6. Step 6: Final answer
    x = 839,121.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.